Answer:
48/25 as an improper fraction, 1 23/25 as a mixed fraction.
Step-by-step explanation:
It is -8/5 divided by 5/-6.
First of all, you can get rid of the negative signs becasue there are two. Negative and Negative equals positive, so we already know that the answer will be positive.
So, we now have 8/5 divided by 5/6.
When you divide fractions, the fraction being divided is turned to it's reciprocal. To get a fraction's reciprocal, just flip the numerator and denominator's places. It's that easy!
Here is an example: 2/3's reciprocal is 3/2. The numbers just get flipped!
That would mean 5/6's reciprocal would be 6/5. Don't find the reciprocal of 8/5 because it is not the number that is getting divided. When you find a reciprocal you can change the division sign into a multiplying sign.
Example: 2/3 divided by 4/5. Reciprocal of 4/5 is 5/4. Now it is 2/3 <u>TIMES</u> 5/4.
Back to the problem.
We now have 8/5 <u>TIMES</u> 6/5. When you multiply fractions, just multiply both numerators, in this case being 8 and 6, and the denominators, in this case being 5 and 5. So 8 times 6 is 48. 5 times 5 is 25.
We now have 48/25, which can be reduced to 1 23/25!
For the mixed number, if you are confused, 25 goes into 48 only one time. So, the whole number is 1. but when 25 goes into 48 only one time, there is still 23 left because 48-25= 23. 23 is our new numerator! The denominator stays the same. So, it's 1 23/25. :)
